Birational geometry of hypersurfaces in products of projective spaces
Change log
Authors
Ottem, JC
Abstract
We study the birational properties of hypersurfaces in products of projective spaces. In the case of hypersurfaces in Pm x Pn, we describe their nef, movable and e ective cones and determine when they are Mori dream spaces. Using this, we give new simple examples of non-Mori dream spaces and analogues of Mumford's example of a strictly nef line bundle which is not ample.
Description
Keywords
4902 Mathematical Physics, 4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
Mathematische Zeitschrift
Conference Name
Journal ISSN
0025-5874
1432-1823
1432-1823
Volume Title
280
Publisher
Springer Science and Business Media LLC